Results 41 to 50 of about 87 (80)
New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications
Mathematische Nachrichten, Volume 297, Issue 4, Page 1407-1443, April 2024.Abstract Given a bounded Lipschitz domain Ω⊂Rn$\Omega \subset \mathbb {R}^n$, Rychkov showed that there is a linear extension operator E$\mathcal {E}$ for Ω$\Omega$, which is bounded in Besov and Triebel‐Lizorkin spaces. In this paper, we introduce some new estimates for the extension operator E$\mathcal {E}$ and give some applications.
Ziming Shi, Liding Yao
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Novel fractional Schurer type operators with explicit error bounds and applications
Journal of Inequalities and ApplicationsIn this present paper, we introduce Riemann-Liouville fractional type Schurer operators and its approximation properties. Firstly, we calculate the some estimates for these operators.
Tripuresh Mishra +3 more
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Approximation properties of Kantorovich type q-Balázs-Szabados operators
Demonstratio Mathematica, 2019 In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators.
Özkan Esma Yıldız
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MathematicsIn this paper, a generalized sequence of Baskakov operators connected to the Riemann–Liouville fractional integral is introduced. These sequences of operators deal with smooth approximation behavior in a wider class, i.e., a class of measurable functions
Tripuresh Mishra +3 more
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MathematicsThe goal of this manuscript is to introduce a new Stancu generalization of the modified Szász–Kantorovich operator connecting Riemann–Liouville fractional operators via Charlier polynomials.
Nadeem Rao +2 more
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Szász–Durrmeyer Operators Involving Confluent Appell Polynomials
AxiomsThis article is concerned with the Durrmeyer-type generalization of Szász operators, including confluent Appell polynomials and their approximation properties.
Kadir Kanat, Selin Erdal
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Approximation on parametric extension of Baskakov–Durrmeyer operators on weighted spaces
Journal of Inequalities and Applications, 2019 In the present manuscript, we define a non-negative parametric variant of Baskakov–Durrmeyer operators to study the convergence of Lebesgue measurable functions and introduce these as α-Baskakov–Durrmeyer operators.
Md Nasiruzzaman +3 more
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Approximation Associated with Kantorovich Version of Bézier (λ,q)–Bernstein–Schurer Operators
MathematicsIn the present paper, the Kantorovich modification of the Schurer type of (λ,q)-Bernstein operators, which are associated by the shape parameter −1≤λ≤1 and the Bézier basis function, is presented.
Md. Nasiruzzaman +3 more
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Journal of Inequalities and ApplicationsIn this paper, we attempt to use the Dunkl analog to study the convergence properties of q-Phillips operators by using the q-Appell polynomials. By applying the new sequences of continuous functions ν s , q ( z ) = ( z − 1 2 [ s ] q ) ϱ $\nu _{s,q}(z ...
Md. Nasiruzzaman +4 more
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MathematicsIn this work, we first establish a new connection between adjoint Bernoulli’s polynomials and gamma function as a new sequence of linear positive operators denoted by Sr,ς,λ(.;.).
Harun Çiçek +3 more
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